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Finding the Fourth Proportional to 606.30, 909.26 and 189.79

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Solution

The fourth proportional to 606.30, 909.26 and 189.79 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.30 : 909.26 = 189.79 : x
  2. Step 2: Convert to fraction form
    606.30/909.26 = 189.79/x
  3. Step 3: Cross multiply
    606.30x = 909.26 × 189.79
  4. Step 4: Simplify right side
    606.30x = 172,571.06
  5. Step 5: Solve for x
    x = 172,571.06/606.30
  6. Step 6: Final answer
    x = 284.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.